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(a) Let E Suppose T : R³ R³ is a linear transformation such that [T] E,E = (b) Consider the basis [T] B,B 0-0 0-E8-E 1 = : {е₁, №2, №3} be the standard basis of R³. Find the matrix of T with respect to E. of R³. Find the matrix of T with respect to B. = B = {V₁, V2, V3}: = -0.00 = -3

(a) Let E Suppose T : R³ R³ is a linear transformation such that [T] E,E = (b) Consider the basis [T] B,B 0-0 0-E8-E 1 = : {е₁, №2, №3} be the standard basis of R³. Find the matrix of T with respect to E. of R³. Find the matrix of T with respect to B. = B = {V₁, V2, V3}: = -0.00 = -3

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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Suppose T : R³ → R³ is a linear transformation such that 1 3 -5 T 0-0 0-E 0-E -2 -3 -2 (a) Let E = {e₁,e₂, €3 } be the standard basis of R³. Find the matrix of T with respect to E. [T] E,E = (b) Consider the basis [T] B,B of R³. Find the matrix of T with respect to B. B = {V₁, V2, V3}: = = {CH 0
Transcribed Image Text:Suppose T : R³ → R³ is a linear transformation such that 1 3 -5 T 0-0 0-E 0-E -2 -3 -2 (a) Let E = {e₁,e₂, €3 } be the standard basis of R³. Find the matrix of T with respect to E. [T] E,E = (b) Consider the basis [T] B,B of R³. Find the matrix of T with respect to B. B = {V₁, V2, V3}: = = {CH 0
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